# CAT 2019 Quant Question with Solution 11

Question:
With rectangular axes of coordinates, the number of paths from (1,1) to (8,10) via (4,6), where each step from any point (x, y) is either to (x, y+1) or to (x+1, y), is

Let A, B and C represent the coordinates (1, 1), (8,10) and (4,6) respectively. The number of ways to go from A to B via C = (The number of ways to go from A to C)×(The number of ways to go from C to B)

$={}^{8}{{C}_{5}}\times {}^{8}{{C}_{4}}=3920$

Also Check: 841+ CAT Quant Questions with Solutions

#### CAT 2019 Slot-2

 Bodhee Prep's YouTube channel CAT Prep Whatsapp Group CAT Prep Telegram Group
X
{"ft_lang_label":"__label__en","ft_lang_prob":0.80917424,"math_prob":0.9674722,"size":518,"snap":"2022-27-2022-33","text_gpt3_token_len":175,"char_repetition_ratio":0.14202334,"word_repetition_ratio":0.10869565,"special_character_ratio":0.38610038,"punctuation_ratio":0.13953489,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.99476516,"pos_list":[0,1,2,3,4],"im_url_duplicate_count":[null,null,null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-07-05T09:59:09Z\",\"WARC-Record-ID\":\"<urn:uuid:c8d03042-9cb7-4071-ac86-f373206d8288>\",\"Content-Length\":\"102012\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:59d63228-4d25-46ed-b480-69703f9a0b7c>\",\"WARC-Concurrent-To\":\"<urn:uuid:fbf49936-d3ed-46e6-b0cf-4ff50fe48ac6>\",\"WARC-IP-Address\":\"104.21.68.107\",\"WARC-Target-URI\":\"https://bodheeprep.com/cat-2019-quant-question-with-solution-11\",\"WARC-Payload-Digest\":\"sha1:E4QDCG4RJYKANROKFRHVTE3TWCSU5X44\",\"WARC-Block-Digest\":\"sha1:UDQT33L5VWIUWLIKDJS4LOVF2NLG4HBJ\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-27/CC-MAIN-2022-27_segments_1656104542759.82_warc_CC-MAIN-20220705083545-20220705113545-00424.warc.gz\"}"}